Optimal design of k-out-of-n system under first and last replacement in reliability theory

Nizar Mannai () and Soufiane Gasmi ()
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Nizar Mannai: University of Carthage
Soufiane Gasmi: University of Tunis

Operational Research, 2020, vol. 20, issue 3, No 8, 1353-1368

Abstract: Abstract In various critical applications of many systems, economic use has been an essential architectural attribute for achieving high performance. A k-out-of-n system, which consists of n components and fails if at least $$n-k+1$$ n - k + 1 of the n components fail, is one of the most important systems in practice. Several researchers have shown that, there is an optimal design of such a system, so that the expected total cost of the system is minimized. The present paper aims to find the best compromise between age replacement and system configuration to design a k-out-of-n system when replacement first and last are applied i.e. the system undergoes preventive maintenances before failure at a planned time T or at a random working cycle Y whichever occurs first or last. Expected cost rates for the first and last replacement are formulated. Case studies are provided to illustrate the applications of the theoretical results developed and a numerical algorithm is made to obtain optimal k-out-of-n system configuration.

Keywords: Optimal design; Reliability; k-out-of-n system; Replacement first; Replacement last; Random working cycle (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s12351-018-0375-4

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